1. General Electric manufactures a decorative Crystal Clear 60-watt light bulb that it advertises will last 1500 hours.Suppose the lifetimes of the light bulbs are approximately normally distributed with a mean of 1550 hours and a standard deviation of 58 hours.Using MINITAB, find the following probabilities; round answers to 4 decimal places.Copy and paste the graph if you use the drop down menu and answer in a complete sentence.
   1. What proportion of the light bulbs will last less than the advertised time (1500 hours)?
   2. What proportion of the light bulbs will last more than 1600 hours?
   3. What proportion of the light bulbs will last between 1625 and 1725 hours?
   4. If the company gives a money back guarantee that their light bulb lasts a certain amount of time, and it does not want to give more that 5% of customers their money back.What lifetime should they advertise for their bulb,1450, 1460,1470 hours, 1480 hours, or 1490 hours?
   5. If a sample of 10 light bulbs is randomly selected, what is the probability the mean number of hours that the sample of 10 light bulbs will last is more than 1575 hours?